Zariski surfaces, class groups and linearized systems

DOI10.1016/j.jpaa.2011.03.011zbMath1228.14010OpenAlexW1997117501MaRDI QIDQ640927

Jeffrey Lang

Publication date: 21 October 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.03.011

Mathematics Subject Classification ID

Picard groups (14C22) Class groups (13C20)

Related Items (5)

The divisor class group of splittable Zariski surfaces ⋮ A new algorithm for computing class groups of Zariski surfaces ⋮ Linearized systems and a generalized Cayley–Hamilton theorem ⋮ Splittable Zariski surfaces II ⋮ Three-dimensional Jacobian derivations and divisor class groups

Cites Work

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• A new algorithm for computing class groups of Zariski surfaces
• The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem
• The divisor class group of the surface \(\exp(p^ n\cdot \log Z)=G(X,Y)\) over fields of characteristic \(p>0\)
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• A formula for the Cartier operator on plane algebraic curves.

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